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Trimaximal TM₁ mixing with two modular S₄ groups

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arxiv 1908.02770 v3 pith:G4T5W3GJ submitted 2019-08-07 hep-ph

Trimaximal TM₁ mixing with two modular S₄ groups

classification hep-ph
keywords mixingleptonmodelmodularneutrinoactingassociatedfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss a minimal flavour model with twin modular symmetries, leading to trimaximal TM$_1$ lepton mixing in which the first column of the tri-bimaximal lepton mixing matrix is preserved. The model involves two modular $S_4$ groups, one acting in the neutrino sector, associated with a modulus field value $\tau_{SU}$ with residual $Z^{SU}_2$ symmetry, and one acting in the charged lepton sector, associated with a modulus field value $\tau_{T}$ with residual $Z^{T}_3$ symmetry. Apart from the predictions of TM$_1$ mixing, the model leads to a new neutrino mass sum rule which implies lower bounds on neutrino masses close to current limits from neutrinoless double beta decay experiments and cosmology.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Lepton mixing from the $\Delta(96)$ Modular Littlest Seesaw

    hep-ph 2026-07 conditional novelty 6.0

    An exhaustive scan of Δ(96) Modular Littlest Seesaw models yields 35 viable residual-symmetry patterns with new fixed PMNS columns and sharp, testable predictions beyond TM1.

  2. Two-loop neutrino mass model with modular $S_4$ symmetry

    hep-ph 2026-05 unverdicted novelty 6.0

    A two-loop neutrino mass model with modular S4 and Z3 symmetries reproduces charged lepton masses and normal-ordering neutrino data while predicting observable LFV and viable DM candidates.

  3. Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing

    hep-ph 2026-05 unverdicted novelty 5.0

    CP phases φ1,2 in TM1,2 mixing equal rephasing invariants φ1 = -arg[U_e2 U_e3 U_μ1 U_τ1 / U_e1 det U] and φi = δ - arg[U_μi^0 U_τi^0].

  4. The Future of Lepton Flavor

    hep-ph 2026-06 unverdicted novelty 4.0

    Upcoming neutrino experiments are projected to substantially reduce the number of viable leptonic flavor models in five popular classes by measuring mass ordering, theta_23 octant, delta_CP, and absolute mass scale.